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Finding the Fourth Proportional to 22,957.90, 34,432.49 and 6,313.82

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Solution

The fourth proportional to 22,957.90, 34,432.49 and 6,313.82 is: 9,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.90 : 34,432.49 = 6,313.82 : x
  2. Step 2: Convert to fraction form
    22,957.90/34,432.49 = 6,313.82/x
  3. Step 3: Cross multiply
    22,957.90x = 34,432.49 × 6,313.82
  4. Step 4: Simplify right side
    22,957.90x = 217,400,387.63
  5. Step 5: Solve for x
    x = 217,400,387.63/22,957.90
  6. Step 6: Final answer
    x = 9,469.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.